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Simplifying 5 + 17t + -3 = 8 + 44 + -5t Reorder the terms: 5 + -3 + 17t = 8 + 44 + -5t Combine like terms: 5 + -3 = 2 2 + 17t = 8 + 44 + -5t Combine like terms: 8 + 44 = 52 2 + 17t = 52 + -5t Solving 2 + 17t = 52 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 2 + 17t + 5t = 52 + -5t + 5t Combine like terms: 17t + 5t = 22t 2 + 22t = 52 + -5t + 5t Combine like terms: -5t + 5t = 0 2 + 22t = 52 + 0 2 + 22t = 52 Add '-2' to each side of the equation. 2 + -2 + 22t = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 22t = 52 + -2 22t = 52 + -2 Combine like terms: 52 + -2 = 50 22t = 50 Divide each side by '22'. t = 2.272727273 Simplifying t = 2.272727273
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